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<title>
libqhull.c -- top-level functions and basic data types
</title>
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<body>
<!-- Navigation links -->
<p><a
name=
"TOP"
><b>
Up:
</b></a>
<a
href=
"http://www.qhull.org"
>
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for Qhull
<br>
<b>
Up:
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<a
href=
"../../html/index.htm#TOC"
>
Qhull manual
</a>
: Table of Contents
<br>
<b>
Up:
</b>
<a
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Programs
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Formats
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Geomview
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Print
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<a
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Qhull
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>
Precision
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•
<a
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"../../html/qh-optt.htm#trace"
>
Trace
</a><br>
<b>
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>
Qhull code: Table of Contents
</a><br>
<b>
To:
</b>
<a
href=
"index.htm"
>
Qhull functions
</a>
, macros, and data structures
<br>
<b>
To:
</b>
<a
href=
"qh-geom.htm"
>
Geom
</a>
•
<a
href=
"qh-globa.htm"
>
Global
</a>
•
<a
href=
"qh-io.htm"
>
Io
</a>
•
<a
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"qh-mem.htm"
>
Mem
</a>
•
<a
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>
Merge
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Poly
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Qhull
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Stat
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User
</a>
</p>
<hr>
<h2>
libqhull.c -- top-level functions and basic data types
</h2>
<blockquote>
<p>
Qhull implements the Quickhull algorithm for computing
the convex hull. The Quickhull algorithm combines two
well-known algorithms: the 2-d quickhull algorithm and
the n-d beneath-beyond algorithm. See
<a
href=
"../../html/index.htm#description"
>
Description of Qhull
</a>
.
</p>
<p>
This section provides an index to the top-level
functions and base data types. The top-level header file,
<tt>
libqhull.h
</tt>
,
contains prototypes for these functions.
</p>
</blockquote>
<p><b>
Copyright
©
1995-2012 C.B. Barber
</b></p>
<hr>
<p><a
href=
"#TOP"
>
»
</a>
<a
href=
"qh-geom.htm#TOC"
>
Geom
</a>
<a
name=
"TOC"
>
•
</a>
<a
href=
"qh-globa.htm#TOC"
>
Global
</a>
•
<a
href=
"qh-io.htm#TOC"
>
Io
</a>
•
<a
href=
"qh-mem.htm#TOC"
>
Mem
</a>
•
<a
href=
"qh-merge.htm#TOC"
>
Merge
</a>
•
<a
href=
"qh-poly.htm#TOC"
>
Poly
</a>
•
<b>
Qhull
</b>
•
<a
href=
"qh-set.htm#TOC"
>
Set
</a>
•
<a
href=
"qh-stat.htm#TOC"
>
Stat
</a>
•
<a
href=
"qh-user.htm#TOC"
>
User
</a>
</p>
<h3>
Index to
<a
href=
"libqhull.c"
>
libqhull.c
</a>
,
<a
href=
"libqhull.h"
>
libqhull.h
</a>
, and
<a
href=
"../qhull/unix.c"
>
unix.c
</a></h3>
<ul>
<li><a
href=
"#qtype"
>
libqhull.h and unix.c data types and
constants
</a>
</li>
<li><a
href=
"#qmacro"
>
libqhull.h other macros
</a>
</li>
<li><a
href=
"#qfunc"
>
Quickhull routines in call order
</a>
</li>
<li><a
href=
"#qinit"
>
Top-level routines for initializing and terminating Qhull
</a></li>
<li><a
href=
"#qin"
>
Top-level routines for reading and modifying the input
</a></li>
<li><a
href=
"#qcall"
>
Top-level routines for calling Qhull
</a></li>
<li><a
href=
"#qout"
>
Top-level routines for returning results
</a></li>
<li><a
href=
"#qtest"
>
Top-level routines for testing and debugging
</a></li>
</ul>
<h3><a
href=
"qh-qhull.htm#TOC"
>
»
</a><a
name=
"qtype"
>
libqhull.h and unix.c
data types and constants
</a></h3>
<ul>
<li><a
href=
"libqhull.h#flagT"
>
flagT
</a>
Boolean flag as
a bit
</li>
<li><a
href=
"libqhull.h#boolT"
>
boolT
</a>
boolean value,
either True or False
</li>
<li><a
href=
"libqhull.h#CENTERtype"
>
CENTERtype
</a>
to
distinguish facet-
>
center
</li>
<li><a
href=
"libqhull.h#qh_PRINT"
>
qh_PRINT
</a>
output
formats for printing (qh.PRINTout)
</li>
<li><a
href=
"libqhull.h#qh_ALL"
>
qh_ALL
</a>
argument flag
for selecting everything
</li>
<li><a
href=
"libqhull.h#qh_ERR"
>
qh_ERR
</a>
Qhull exit
codes for indicating errors
</li>
<li><a
href=
"libqhull.h#qh_FILEstderr"
>
qh_FILEstderr
</a>
Fake stderr
to distinguish error output from normal output [C++ only]
</li>
<li><a
href=
"../qhull/unix.c#prompt"
>
qh_prompt
</a>
version and long prompt for Qhull
</li>
<li><a
href=
"../qhull/unix.c#prompt2"
>
qh_prompt2
</a>
synopsis for Qhull
</li>
<li><a
href=
"../qhull/unix.c#prompt3"
>
qh_prompt3
</a>
concise prompt for Qhull
</li>
<li><a
href=
"global.c#qh_version"
>
qh_version
</a>
version stamp
</li>
</ul>
<h3><a
href=
"qh-qhull.htm#TOC"
>
»
</a><a
name=
"qmacro"
>
libqhull.h other
macros
</a></h3>
<ul>
<li><a
href=
"qhull_a.h#traceN"
>
traceN
</a>
print trace
message if
<em>
qh.IStracing
>
= N
</em>
.
</li>
<li><a
href=
"qhull_a.h#QHULL_UNUSED"
>
QHULL_UNUSED
</a>
declare an
unused variable to avoid warnings.
</li>
</ul>
<h3><a
href=
"qh-qhull.htm#TOC"
>
»
</a><a
name=
"qfunc"
>
Quickhull
routines in call order
</a></h3>
<ul>
<li><a
href=
"../qhull/unix.c#main"
>
main
</a>
processes the
command line, calls qhull() to do the work, and
exits
</li>
<li><a
href=
"libqhull.c#qhull"
>
qh_qhull
</a>
construct
the convex hull of a set of points
</li>
<li><a
href=
"libqhull.c#build_withrestart"
>
qh_build_withrestart
</a>
allow restarts while calling qh_buildhull
</li>
<li><a
href=
"poly2.c#initbuild"
>
qh_initbuild
</a>
initialize hull and outside sets with point array
</li>
<li><a
href=
"libqhull.c#partitionall"
>
qh_partitionall
</a>
partition all points into outside sets
</li>
<li><a
href=
"libqhull.c#buildhull"
>
qh_buildhull
</a>
construct a convex hull by adding points one at a
time
</li>
<li><a
href=
"libqhull.c#nextfurthest"
>
qh_nextfurthest
</a>
return next furthest point for processing
</li>
<li><a
href=
"libqhull.c#buildtracing"
>
qh_buildtracing
</a>
trace an iteration of buildhull
</li>
<li><a
href=
"libqhull.c#addpoint"
>
qh_addpoint
</a>
add a
point to the convex hull
</li>
<li><a
href=
"libqhull.c#findhorizon"
>
qh_findhorizon
</a>
find the horizon and visible facets for a point
</li>
<li><a
href=
"libqhull.c#partitionvisible"
>
qh_partitionvisible
</a>
partition points from facets in qh.visible_list
to facets in qh.newfacet_list
</li>
<li><a
href=
"libqhull.c#partitionpoint"
>
qh_partitionpoint
</a>
partition a point as inside, coplanar with, or
outside a facet
</li>
<li><a
href=
"libqhull.c#partitioncoplanar"
>
qh_partitioncoplanar
</a>
partition coplanar point into a facet
</li>
<li><a
href=
"libqhull.c#precision"
>
qh_precision
</a>
restart on precision errors if not merging and if 'QJn'
</li>
</ul>
<h3><a
href=
"qh-qhull.htm#TOC"
>
»
</a><a
name=
"qinit"
>
Top-level routines for initializing and terminating Qhull (in other modules)
</a></h3>
<ul>
<li><a
href=
"global.c#freebuild"
>
qh_freebuild
</a>
free memory used by qh_initbuild and qh_buildhull
</li>
<li><a
href=
"global.c#checkflags"
>
qh_checkflags
</a>
check flags for multiple frontends to qhull
<li><a
href=
"global.c#freeqhull"
>
qh_freeqhull
</a>
free memory used by qhull
</li>
<li><a
href=
"global.c#init_A"
>
qh_init_A
</a>
called
before error handling initialized
</li>
<li><a
href=
"global.c#init_B"
>
qh_init_B
</a>
called
after points are defined
</li>
<li><a
href=
"global.c#initflags"
>
qh_initflags
</a>
set
flags and constants from command line
</li>
<li><a
href=
"rboxlib.c#rboxpoints"
>
qh_rboxpoints
</a>
generate points for qhull
</li>
<li><a
href=
"global.c#restore_qhull"
>
qh_restore_qhull
</a>
restores a saved qhull
</li>
<li><a
href=
"global.c#save_qhull"
>
qh_save_qhull
</a>
saves qhull for later restoring
</li>
<li><a
href=
"user.c#user_memsizes"
>
qh_user_memsizes
</a>
define additional quick allocation sizes
</li>
</ul>
<h3><a
href=
"qh-qhull.htm#TOC"
>
»
</a><a
name=
"qin"
>
Top-level routines for reading and modifying the input (in other modules)
</a></h3>
<ul>
<li><a
href=
"geom2.c#gram_schmidt"
>
qh_gram_schmidt
</a>
implements Gram-Schmidt orthogonalization by rows
</li>
<li><a
href=
"geom2.c#projectinput"
>
qh_projectinput
</a>
project input along one or more dimensions +
Delaunay projection
</li>
<li><a
href=
"geom2.c#randommatrix"
>
qh_randommatrix
</a>
generate a random dimXdim matrix in range (-1,1)
</li>
<li><a
href=
"io.c#readpoints"
>
qh_readpoints
</a>
read
points from input
</li>
<li><a
href=
"geom2.c#rotateinput"
>
qh_rotateinput
</a>
rotate
input points using row matrix
</li>
<li><a
href=
"geom2.c#scaleinput"
>
qh_scaleinput
</a>
scale
input points using qh low_bound/high_bound
</li>
<li><a
href=
"geom2.c#setdelaunay"
>
qh_setdelaunay
</a>
project
points to paraboloid for Delaunay triangulation
</li>
<li><a
href=
"geom2.c#sethalfspace_all"
>
qh_sethalfspace_all
</a>
generate dual for halfspace intersection with interior
point
</li>
</ul>
<h3><a
href=
"qh-qhull.htm#TOC"
>
»
</a><a
name=
"qcall"
>
Top-level routines for calling Qhull (in other modules)
</a></h3>
<ul>
<li><a
href=
"libqhull.c#addpoint"
>
qh_addpoint
</a>
add
point to convex hull
</li>
<li><a
href=
"poly2.c#findbestfacet"
>
qh_findbestfacet
</a>
find facet that is furthest below a point
</li>
<li><a
href=
"poly2.c#findfacet_all"
>
qh_findfacet_all
</a>
exhaustive search for facet below a point
</li>
<li><a
href=
"libqhull.c#qhull"
>
qh_qhull
</a>
construct
the convex hull of a set of points
</li>
</ul>
<h3><a
href=
"qh-qhull.htm#TOC"
>
»
</a><a
name=
"qout"
>
Top-level routines for returning results (in other modules)
</a></h3>
<ul>
<li><a
href=
"stat.c#collectstatistics"
>
qh_collectstatistics
</a>
collect statistics for qh.facet_list
</li>
<li><a
href=
"poly2.c#nearvertex"
>
qh_nearvertex
</a>
return nearest vertex to point
</li>
<li><a
href=
"poly2.c#point"
>
qh_point
</a>
return point
for a point ID
</li>
<li><a
href=
"poly2.c#pointfacet"
>
qh_pointfacet
</a>
return temporary set of facets indexed by point
ID
</li>
<li><a
href=
"poly.c#pointid"
>
qh_pointid
</a>
return ID
for a point
</li>
<li><a
href=
"poly2.c#pointvertex"
>
qh_pointvertex
</a>
return vertices (if any) for all points
</li>
<li><a
href=
"stat.c#printallstatistics"
>
qh_printallstatistics
</a>
print all statistics
</li>
<li><a
href=
"io.c#printneighborhood"
>
qh_printneighborhood
</a>
print neighborhood of one or two facets
</li>
<li><a
href=
"libqhull.c#printsummary"
>
qh_printsummary
</a>
print summary
</li>
<li><a
href=
"io.c#produce_output"
>
qh_produce_output
</a>
print the results of qh_qhull()
</li>
<li><a
href=
"poly2.c#setvoronoi_all"
>
qh_setvoronoi_all
</a>
compute Voronoi centers for all facets
</li>
</ul>
<h3><a
href=
"qh-qhull.htm#TOC"
>
»
</a><a
name=
"qtest"
>
Top-level routines for testing and debugging (in other modules)
</a></h3>
<ul>
<li><a
href=
"io.c#dfacet"
>
dfacet
</a>
print facet by
ID from debugger
</li>
<li><a
href=
"io.c#dvertex"
>
dvertex
</a>
print vertex
by ID from debugger
</li>
<li><a
href=
"poly2.c#check_output"
>
qh_check_output
</a>
check output
</li>
<li><a
href=
"poly2.c#check_points"
>
qh_check_points
</a>
verify that all points are inside the convex hull
</li>
<li><a
href=
"user.c#errexit"
>
qh_errexit
</a>
report
error with a facet and a ridge
</li>
<li><a
href=
"libqhull.c#errexit2"
>
qh_errexit2
</a>
report
error with two facets
</li>
<li><a
href=
"user.c#errprint"
>
qh_errprint
</a>
print
erroneous facets, ridge, and vertex
</li>
<li><a
href=
"user.c#printfacetlist"
>
qh_printfacetlist
</a>
print all fields for a list of facets
</li>
</ul>
<p>
<!-- Navigation links -->
</p>
<hr>
<p><b>
Up:
</b>
<a
href=
"http://www.qhull.org"
>
Home page for
Qhull
</a>
<br>
<b>
Up:
</b>
<a
href=
"../../html/index.htm#TOC"
>
Qhull manual: Table of Contents
</a>
<br>
<b>
Up:
</b>
<a
href=
"../../html/qh-quick.htm#programs"
>
Programs
</a>
•
<a
href=
"../../html/qh-quick.htm#options"
>
Options
</a>
•
<a
href=
"../../html/qh-opto.htm#output"
>
Output
</a>
•
<a
href=
"../../html/qh-optf.htm#format"
>
Formats
</a>
•
<a
href=
"../../html/qh-optg.htm#geomview"
>
Geomview
</a>
•
<a
href=
"../../html/qh-optp.htm#print"
>
Print
</a>
•
<a
href=
"../../html/qh-optq.htm#qhull"
>
Qhull
</a>
•
<a
href=
"../../html/qh-optc.htm#prec"
>
Precision
</a>
•
<a
href=
"../../html/qh-optt.htm#trace"
>
Trace
</a><br>
<b>
Up:
</b>
<a
href=
"../../html/qh-code.htm#TOC"
>
Qhull code: Table of Contents
</a>
<br>
<b>
To:
</b>
<a
href=
"index.htm"
>
Qhull functions
</a>
, macros, and data structures
<br>
<b>
To:
</b>
<a
href=
"qh-geom.htm"
>
Geom
</a>
•
<a
href=
"qh-globa.htm"
>
Global
</a>
•
<a
href=
"qh-io.htm"
>
Io
</a>
•
<a
href=
"qh-mem.htm"
>
Mem
</a>
•
<a
href=
"qh-merge.htm"
>
Merge
</a>
•
<a
href=
"qh-poly.htm"
>
Poly
</a>
•
<a
href=
"qh-qhull.htm#TOC"
>
Qhull
</a>
•
<a
href=
"qh-set.htm"
>
Set
</a>
•
<a
href=
"qh-stat.htm"
>
Stat
</a>
•
<a
href=
"qh-user.htm"
>
User
</a><br>
</p>
<p>
<!-- GC common information -->
</p>
<hr>
<p><a
href=
"http://www.geom.uiuc.edu/"
><img
src=
"../../html/qh--geom.gif"
align=
"middle"
width=
"40"
height=
"40"
></a><i>
The
Geometry Center Home Page
</i></p>
<p>
Comments to:
<a
href=
mailto:qhull@qhull.org
>
qhull@qhull.org
</a>
</a><br>
Created: May 2, 1997 ---
<!-- hhmts start -->
Last modified: see top
<!-- hhmts end -->
</p>
</body>
</html>
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